The interrelated definition of interval dynamical system stability was given, and the robust stability of interval dynamical systems with time-delay was discussed by constructing suitable control matrix and iterative function. A method to judge the robust stability of a kind of interval dynamical systems with time-delay was obtained, the biggest parameter interval on the robust stability of systems with time-delay was obtained, and the interval dynamics system stability with time-delay was transformed into the stability of matrix. The results generalize the known literatures one.